Created
November 19, 2022 03:25
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| import sys | |
| def baseline(k): | |
| n = 0 | |
| for i in range(k + 1): | |
| n += str(i).count('1') | |
| return n | |
| def modulo(k): | |
| if k == 0: | |
| return 0 | |
| elif k < 10: | |
| return 1 | |
| n = 1 | |
| i = 0 | |
| j = 10 | |
| while True: | |
| p = 0 | |
| i = j | |
| z = i // 1e9 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e9 | |
| z = i // 1e8 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e8 | |
| z = i // 1e7 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e7 | |
| z = i // 1e6 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e6 | |
| z = i // 1e5 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e5 | |
| z = i // 1e4 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e4 | |
| z = i // 1e3 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e3 | |
| z = i // 1e2 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e2 | |
| z = i // 1e1 | |
| p += 1 if z == 1 else 0 | |
| i -= z * 1e1 | |
| if j + 10 <= k: | |
| n += p * 10 + 1 | |
| j += 10 | |
| else: | |
| n += (k - (j - 1)) * p | |
| if (k - (j - 1)) > 1: | |
| n += 1 | |
| return n | |
| import time | |
| t = time.time() | |
| print(baseline(int(sys.argv[1])), time.time() - t) | |
| t = time.time() | |
| print(modulo(int(sys.argv[1])), time.time() - t) |
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